Martin Flashman's Courses
Math 106 Calculus for Business and Economics
Fall, '03
Current Assignment and Schedule
 Due Date Reading for 3rd Edition Problems CD Viewing [# minutes] Optional 8-26 #1 A.1 Review of Real Numbers  A.3 Multiplying and Factoring  1.1 pp 3-6 BLACKBOARD background assessment quiz.   A.1: 1-21 odd  A.3: 1-13 odd; 31-39 odd Introduction [in class]  How to Do Math [in class] 8-28 #2 1.1 Functions and tables.  A.5pp A.22-24   Solving equations 1.1: 1-5, 7,9, 12, 15, 16, 22, 23, 25, 33   A.5 1-7 odd, 13-19 odd Functions [19] 8-29 1.2 Graphs   Sensible Calculus 0.B.2 Functions 1.2: 1,2,4,5 [Draw a mapping-transformation figure for each function in this assignment] [NO BLACKBOARD REPORT!]  [Read SC 0.B.2  to find out more about the mapping-transformation figure.] Graphing Lines [28] Try Blackboard Practice Quiz on Functions 9-2 #3 1.3 Linear functions   Functions and Linear Models 1.2: 13, 17, 31  Draw a mapping figure for each function  1.3 : 1-9 odd, 11,12,29,41,33 The Two Questions of Calculus [10] On-line Mapping Figure Activities-  (this may be slow downloading) 9-4 #4 1.4 Linear Models. 1.3: 37- 49 odd, 55, 57, 59  1.4: 1-9 odd Average Rates of Change [11] 1.4: 49 9-5 #5 1.4 Linear Models. 1.4:  12, 19, 21,22,25 9-8(extended to 9-9) #6 2.1 Quadratic functions  A.5 ppA23-A25 2.1: 1-9 odd, 25, 27, 33 Parabolas [22] 9-11 #7 3.1 Average Rate of Change 3.1: 1-10, 13-16, 21, 39, 40 Rates of Change, Secants and Tangents [19] 9-12 #8 3.2 The Derivative: A Numerical and Graphical  Viewpoint 3.2: 1, 2, 5, 9,12 Finding Instantaneous Velocity [20] 9-15 #9 3.2 (graphical)  3.3 The Derivative: An Algebraic Viewpoint 3.2: 13, 16, 17, 19, 20; 23, 24  3.3: 1, 2, 5[Use  "4-step process" from class for all] The Derivative [12] AND Slope of a Tangent Line [12] 9-16 #10 3.2 derivative estimates  3.3 The Derivative: An Algebraic Viewpoint 3.2: 33, 39, 41, 42, 47, 49, 57, 58, 71, 83  3.3: 6,13 ,15,17, 23, 25, 39 Equation of a Tangent Line [18] 3.2: 73,74, 86 9-18 #11 3.2 Derivative function graphs, interpretation 3.4 The Derivative:  Simple Rules 3.2 59-64, 97,98, 109, 110 3.4:1-11 odd; 14-17; 19-21 Instantaneous Rate [15] 3.2:65 9-19 #12 3.4 (Again)  Chapter 3 Summary as relevant. 3.4: 29, 37, 41, 42, 53, 55, 63, 64 Short Cut for Finding Derivatives [14] 9-22 #13 3.4 (Again) 3.5 Marginal analysis  Chapter 3 Summary as relevant. 3.4: 61, 65, 67, 71, 79 3.5: 1,5,6,9,11,13 Uses of The Power Rule [20] *The Derivative of  the Square Root [16] *The Derivative of the Reciprocal Function [18] 9-23 #14 3.5 (Again) 4.1  Product Rule only! pp 241-244 3.5: 19, 21,28 4.1: 13, 15, 16, 21, 22 The Product Rule [21] Differentiability [3] 9-25 #15 4.1: Quotient Rule 4.1: 35, 37, 38, 43; 53, 59, 62 The Quotient Rule [13] 9-26 #16 4.1 4.1: 63, 64, 71, 73 More on Instantaneous Rate [19] 9-29 #17 4.2 The Chain Rule 4.2 : 13- 17, 55 Introduction to The Chain Rule [18] 9-30 #18 4.2 The Chain Rule 4.2: 25, 26, 33, 35; 47,51, 53, 61, 62, 65 Using the Chain Rule [13] 10-2 #19 4.4 Implicit Differentiation (Skip Examples 2 and 3!) 4.4 :11, 12, 15, 35, 36, 47 Finding the derivative implicitly [12] Intro to Implicit Differentiation [15] 10-3 #20 5.4 Related Rates Especially  Ex. 1-3 A.2: Exponents 5.4: 9, 11, 13 A.2: 15,19, 23, 39, 41, 71 2.2 : 3,4,9,11 The Ladder Problem [14] 4.4: 53 Using Implicit Differentiation [23] End of material covered in Exam #1 10-6 #21 2.2: Exponential Functions 5.4 17,  21, 25 2.2:  7, 13, 17, 59, 61 Exponential Functions [10] The Baseball Problem [19] Morale Moment Math Anxiety [6] Review for EXAM 10-8 Midterm Exam #1 covers  HW 1-20. Chapter 3 review: 2,3,4,5,9  Chapter 4 review: 1(a-d), 2(a,b), 4(a,b) 10-7 #22 2.2: Exponential Functions 2.2: 45, 47, 51, 63, 73 2.3: 1-5, 7, 13 Logarithmic Functions [19] 10-10 #23 2.3: Logarithmic functions 2.3: 1-4, 19 Logarithmic Functions [19] 10-13 #24 2.3: 5, 7, 20, 21, 25,31, 45a, 48 a Derivatives of Exp'l Functions [23] 10-14 #25 4.3: Derivatives for Log's & Exponential Functions 4.3:1,2,15,17,19, 23; 7,8,45,51,53,85 Derivative of log functions [14] Sensible Calculus I.F.2 10-16 #26 4.3 4.3: 27, 29, 33, 73 4.4: 31 , 32 10-17 #27 2.3 4.4 Example 3 2.3: 9, 11, 15 10-20 #28 3.6: limits (numerical/graphical)  P209-216 omit EX.3. 3.6: 19, 21(a,b), 23(a-e), 25(a-e), 26(a-e) 3.7: 13,14, 15 One Sided Limits [6] Continuity and discontinuity [4]  Three  Big Theorems [Begin-3.5min] 3.6: 31 10-21 #29 3.7: limits and continuity 3.8 limits and continuity (alg) pp225- 230 middle On-line: cont and diff. The Intermediate Value Theorem 5.1:  Maxima and Minima 3.7:20,27, 28 5.1: 1-7 odd, 8-10,12 The connection between Slope and Optimization [28] 3.8: 11-25 odd; 39-42 10-23 #30 5.1:  Maxima and Minima 5.1: 13,15,21,23,24,25 Critical Points [18] 10-24 #31 5.2. Applications of Maxima and Minima 5.1: 35,  39, 41, 44 5.2: 5, 11, 13 Intro to Curve Sketching [9] The Fence Problem[25] 10-27 #32 5.2. Applications of Maxima and Minima 5.3 2nd deriv.pp317-320 5.2:15, 21 5.3: 1-5,7,9,11,14 Higher order derivatives and linear approximations.[first 5 minutes only!] Regions where a function is increasing...[20] The First Derivative Test [3] Acceleration & the Derivative [6] The Box Problem [20] 10-28 #33 5.3 5.2: 25,  27, 29 5.3 : 17-20, 23; 25, 29,31 Using the second derivative [17]   Concavity and Inflection Points[13] The Can Problem[21] 10-30 #34 5.2 and 5.3 again! 5.2: 33, 35, 41, 45 5.3: 35- 37,41, 63, 67 Graphs of Poly's [10] The 2nd Deriv. test [4] Horizontal asymptotes  [18] 10-31 #35 3.6: p212-216 3.8: p229 5.3: p321-324 3.6: 1-11 odd 3.8: 15,17,21,23 5.3: 39, 43, 45 Vertical asymptotes [9]   Graphing ...asymptotes [10] Functions with Asy.. and holes[ 4] Functions with Asy..and criti' pts [17] 11-3 #36 3.6,3.8  Review! On-Line: Linear Estimation 3.6: 25, 27,29 3.8: 33,35,37 On-line Problems on Linear Estimation   L1-6; A1-5; App1-3 Using tangent line approximations [25] Cusp points &... [14] SC.III.AThe Differential 11-4 #37 3.7, 5.3 Review 5.5 Elasticity and other economic applications of the derivative 3.7: 15,17, 28-30 5.3: 47, 51, 63, 71 5.5: 1, 3 Antidifferentiation[14] 11-6 #38 Differential equations and integration SC IV.A  6.1 The Indefinite Integral  p 353-358 On-line tutorial. 6.1: 1-19 odd, 27, 35 Antiderivatives of powers of x [18] 11-7 #39 6.1 Applications p321-323 6.1: 41-44,51 Antiderivatives and Motion [20] End of material covered in Exam #2 Midterm Exam #2 covers Assignments 21-39 11-10 #40 6.1: 53-55, 57 SC IV.E Review for Exam #2: (will not be collected): p 136: 2,3,4 p288: 1(a,e,g,i),2(c,d),3a,8a p350: 1(a,d,f),2,4a,5(a-c) p362: 39 p407: 1(a,b) 11-11/13 #41 6.3. The Definite Integral As a Sum. p 373-376 6.3: 1-5 odd, 15, 19, 21 Approximating Areas of Plane regions [10] SC IV.E 11-13/14 #42 6.4 The Definite Integral: Area p384-386 6.4: 1-5 odd, 21, 23 Areas, Riemann Sums, and Definite Integrals [14] 11-17 #43 6.5 pp392-395    The Fundamental Theorem 6.5 : 17-20; 67,68 The Fundamental theorem[17]   Illustrating the FT[14] 11-17 #44 6.2 Substitution pp364-367 6.2: 1-6; 21,23 Undoing the chain rule.[9]   Integrating polynomials by Substitution [15] 11-18 #45 6.2 pp 368-371 6.5 396-398 7.2 pp416-420 (area between curves) 6.2: 27-33,59, 60 6.5: 27-30 6.4:22 Evaluating Definite Integrals [13] Area between two curves [9] 11-20 #46 6.5 example 5 7.2 p420-426 (Surplus and social gain) 6.5: 59,63,64 7.2:1,3,5,11, 15 7.2: 25, 37, 49 Limits of integration-Area [15] Common Mistakes [16] Integrating composite exponential and rational functions by substitution [13] 11-21 #47 7.3  pp 430-431 8.1 Functions of Several Variables. p467-471 8.3 pp 490 - 492 7.3: 1-5 odd, 29, 35a 8.1: 1-9 odd, 19, 20, 21, 29, 39, 43 8.3:  1- 7 odd, 13, 41, 45 Finding the Average Value of a Function [8] 12-1/2 #48 8.2 6.5: 9,11,41-45 odd, 42, 65,81 The 20 minute review. 12-4 #49 8.3 Second order partials 8.4 p498-501 Critical points 8.2: 1-9 odd; 11-18; 19-25 odd;41, 49 8.3: 19-25 odd; 29,33,38,51, 53 8.4: 1-9 odd, 33, 37 12-5 #50 (not on BB yet) 7.6 7.6: 1,3,13 7.3::25 The first type of improper integral[10] 7.6:25, 27 12-8 #51(Not on BB yet) 7.5 p 442-445 8.4 pp 504-505 7.5: 1-7 Infinite Limits of integration ... [12] 12-9 #52 7.5 7.5:11, 13, 17 The second type of ... [8] 12-11 7.4 The 20 minute review. 7.4:1, 9, 21, 27 8.4 8.4 :13, 15,17,19 INVENTORY Reading INVENTORY Problems INVENTORY CD Viewing INVENTORY Optional INVENTORY Domain restricted functions ...[11] Three  Big Theorems [11]   5.2: 56 Gravity and vertical motion [19]  Solving vertical motion [12] Distance and Velocity [22] 8.2: 45 Probability and  DARTS  Future and present value. 2.3 2.3:1,3,4,5,7,11,13,31 The 20 minute review. Final Examination:

 Monday Tuesday Thursday Friday Week 1 8-25 Course Introduction 8-26 Numbers, Variables, Algebra Review  The coordinate plane.  Points and Lines. 8-28 More Algebra review.  Begin Functions 8-29 Functions, graphs. Week 2 9-1 No Class- Labor Day 9-2  Functions, graphs and models. Especially Lines and models. 9-4 More Functions and Models: Linear Functions. 9-5  Quadratic functions.  Slopes, rates and estimation. More linear models. Week 3  Summary of Weeks 1&2 Due Friday 9-12. 9-8 Meet in Lab! technology.Quadratics. 9-9 Begin Average rates, and slopes of secant and tangent lines. 9-11The Derivative. Motivation: Marginal cost, rates and slopes. 9-12 More on the Derivative. Week 4 9-15  Begin the Derivative Calculus 9-16 The Derivative Calculus I 9-18   Justification of the power rule . 9-19  Marginal Applications. Justify Constant Multiple Rule. Week 5 Summary of Weeks 3&4 . 9-22 Justify the sum rule. Examples: f  does not have a derivative at a. Start Product rule. 9-23 Justify product rule. Start Quotient Rule. 9-25 The Quotient rule.  Breath 9-26 The Chain Rule Week 6 9-29 Meet in lab: Technology: checking the chain rule and More Chain Rule Implicit functions. Implicit Differentiation 9-30 Implicit Functions and Related rates. 10-2 More related rates. 10-3Exponential functions Interest and value Week 7  Midterm Exam #1 Self-Scheduled 10-8  Summary of Week 5&6  Due 10-10 10-6 More on exponentials.Start Logarithmic functions. 10-7 Review for Exam #1 10-9 Logarithmic functions. 10-10 Week 8 10-13 Derivatives of Logarithms and Exponentials 10-14 Finish derivatives of log's , etc. Logarithmic differentiation. 10-16  Models using exponentials 10-17  limits and continuity, Begin First Derivative Analysis Week 9 Summary of Weeks 7 and 8  Due 10-24 10-20 IVT? Continuity 10-21 Optimization  The fence problem. 10-23 More Optimization and Graphing. First Derivative Analysis 10-24  More optimization (revenue/profit) and IVT Begin Second Derivatives- acceleration Week 10 : 10-27 Concavity and Curves 10-28 More on Concavity 10 -30 Horizontal Asymptotes. Vertical Asymptotes 10-31 Linear Estimation and "Differentials." Relative error. Week 11 Summary of Weeks  9 & 10 Due 11-7 11-3  Differentials Elasticity. 11-4 Begin Differential equations and integration IV.A 11-6 More on DE's and integration. 11-7 Acceleration and integration. Estimating cost changes from marginal costs.   Introduction to the definite Integral. More DE's. Week 12 Self Scheduled   Exam #2 11-12 11-10 Finding area by estimates and using anti-derivatives  The definite integral. 11-11 Riemann Sums  and Estimating Area .   The definite integral and The FTofC. Finding Area exactly!  IV.E? 11-13 More Area and applications:  FT of calculus I . 11-14 Substitution! (Guest Lecture) week 13 Summary of Weeks 11&12 11-17 Substitution in definite integrals Interpreting definite integrals. Geometric Area. 11-18 More on area and substitution. Consumer& Producer Surplus; Social Gain. 11-20  Average Value. Intro to functions of  2 or more. Partial derivatives. 1st order. 11-21 Visualizing Functions of 2 variables: level curves, graphs of z=f(x,y) Review of Exam #2? Week 14 Fall Break 11-24 No Class 11-25 No Class 11-27 No Class 11-28No Class Week 15 12-1 More on partial derivatives and linear estimation. Visualizing functions of 2 variables. 12-2 2nd order partial derivatives  Extremes (Critical points) 12-4 DE's -Separation of variables: Growth models and exponential functions. 12-5 Improper integrals I  . Week 16  Summary of Weeks 13 & 15 Due 12-9 12-8 Improper integrals II Least Squares example 12-9 Begin  Future and present value. Probability and  DARTS? 12-11 Future and present value. Applications of linear regression to other models using logarithms 12-12 ???? Week 17 Final Examination Review Session  Sunday 3-5pm Lib 56 12-15 12-16 12-18 12-19